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Finding the Fourth Proportional to 2,102.73, 3,154.80 and 870.72

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Solution

The fourth proportional to 2,102.73, 3,154.80 and 870.72 is: 1,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.73 : 3,154.80 = 870.72 : x
  2. Step 2: Convert to fraction form
    2,102.73/3,154.80 = 870.72/x
  3. Step 3: Cross multiply
    2,102.73x = 3,154.80 × 870.72
  4. Step 4: Simplify right side
    2,102.73x = 2,746,947.46
  5. Step 5: Solve for x
    x = 2,746,947.46/2,102.73
  6. Step 6: Final answer
    x = 1,306.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.